Asked by Evin
A car is driven east for a distance of 46 km, then north for 27 km, and then in a direction 35° east of north for 24 km.
Determine the angle (from east) of the car's total displacement measured from its starting direction.
Determine the angle (from east) of the car's total displacement measured from its starting direction.
Answers
Answered by
Henry
35 Deg. E of N = 90 - 35 = 55 Deg CCW
from the positive x-axis.
X = Hor = 46 + 24cos55 = 46 + 13.6 = 59.8 km.
Y = Ver. = 27 + 24sin55 = 27 + 19.7 =
46.7 km.
D = (59.8 - 46) + i46.7 = 13.8 + i46.7
tanA = 46.7/13.8 = 3.38,
A = 73.5 Deg. = Angle of Displacement.
from the positive x-axis.
X = Hor = 46 + 24cos55 = 46 + 13.6 = 59.8 km.
Y = Ver. = 27 + 24sin55 = 27 + 19.7 =
46.7 km.
D = (59.8 - 46) + i46.7 = 13.8 + i46.7
tanA = 46.7/13.8 = 3.38,
A = 73.5 Deg. = Angle of Displacement.